Geometric phase for collinear conical intersections. I. Geometric phase angle and vector potentials

Abstract

We present a method for properly treating collinear conical intersections in triatomic systems. The general vector potential (gauge theory) approach for including the geometric phase effects associated with collinear conical intersections in hyperspherical coordinates is presented. The current study develops an introductory method in the treatment of collinear conical intersections by using the phase angle method. The geometric phase angle, η, in terms of purely internal coordinates is derived using the example of a spin-aligned quartet lithium triatomic system. A numerical fit and thus an analytical form for the associated vector potentials are explicitly derived for this triatomic A3 system. The application of this methodology to AB2 and ABC systems is also discussed.

Document Details

Document Type
Pub Defense Publication
Publication Date
Feb 09, 2011
Source ID
10.1063/1.3549725

Entities

People

  • Brian K Kendrick
  • Daniel A. Brue
  • Gregory A. Parker
  • Juan D. Blandon
  • Xuan Li

Organizations

  • Air Force Office of Scientific Research
  • Los Alamos National Laboratory
  • National Science Foundation
  • Office of Defense Programs
  • University of British Columbia
  • University of Oklahoma

Tags

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Geodesy
  • Molecular Photonics/Laser Physics